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Finding the Fourth Proportional to 560.48, 844.91 and 552.08

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Solution

The fourth proportional to 560.48, 844.91 and 552.08 is: 832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.48 : 844.91 = 552.08 : x
  2. Step 2: Convert to fraction form
    560.48/844.91 = 552.08/x
  3. Step 3: Cross multiply
    560.48x = 844.91 × 552.08
  4. Step 4: Simplify right side
    560.48x = 466,457.91
  5. Step 5: Solve for x
    x = 466,457.91/560.48
  6. Step 6: Final answer
    x = 832.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.